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Condensed Matter > Quantum Gases

arXiv:1605.01922 (cond-mat)
This paper has been withdrawn by Wei Jia
[Submitted on 16 Mar 2016 (v1), last revised 7 Apr 2017 (this version, v3)]

Title:An analogous Wu-Yang monopole in superfluid

Authors:Wei Jia, Yi-Rong Ma, Fang-qi Hu, Qing Zhao
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Abstract:By identifying the Schrödinger equation with the hydrodynamic equations in superfluid ${^3}$He, the effective potential is introduced in the Schrödinger equation to solve the quantum pressure in steady state. The pure gauge velocity solutions of hydrodynamic equations provide an analogous Wu-Yang monopole potential. The two cases of velocity in superfluid are equivalent to the two regions of Wu-Yang monopole potential. Due to the compressibility of superfluid, the physical models are limited, such as hard core and harmonic oscillator. It is important that the constraint condition of $\nabla\rho\cdot \textbf{v}=0$ plays a key role, which determines that the integral quantum numbers are selected in monopole harmonics and shows the special analogous Wu-Yang monopole. The results provide a new possibility for the simulation of Wu-Yang monopole.
Comments: This paper has been withdrawn by the author due to a crucial sign error in some equations
Subjects: Quantum Gases (cond-mat.quant-gas); Optics (physics.optics)
Cite as: arXiv:1605.01922 [cond-mat.quant-gas]
  (or arXiv:1605.01922v3 [cond-mat.quant-gas] for this version)
  https://doi.org/10.48550/arXiv.1605.01922

Submission history

From: Wei Jia [view email]
[v1] Wed, 16 Mar 2016 01:16:14 UTC (1,252 KB)
[v2] Tue, 16 Aug 2016 11:18:54 UTC (2,859 KB)
[v3] Fri, 7 Apr 2017 14:53:51 UTC (1 KB) (withdrawn)
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